Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group

Abstract

Let An be the n-th Weyl algebra, and let G ⊂ Sp2n(C) ⊂ Aut(An) be a finite group of linear automorphisms of An. In this paper, we compute the multiplicative structure on the Hochschild cohomologyHH•(AGn ) of the algebra of invariants ofG. We prove that, as a graded algebra, HH•(AGn ) is isomorphic to the graded algebra associated to the center of the group algebra CGwith respect a filtration defined in terms of the defining representation of G.

Cite this paper

@inproceedings{Alvarez2008AlgebraSO, title={Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group}, author={Mariano Suarez Alvarez}, year={2008} }